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Finding the Fourth Proportional to 33,155.27, 49,714.73 and 13,144.49

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Solution

The fourth proportional to 33,155.27, 49,714.73 and 13,144.49 is: 19,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.27 : 49,714.73 = 13,144.49 : x
  2. Step 2: Convert to fraction form
    33,155.27/49,714.73 = 13,144.49/x
  3. Step 3: Cross multiply
    33,155.27x = 49,714.73 × 13,144.49
  4. Step 4: Simplify right side
    33,155.27x = 653,474,771.34
  5. Step 5: Solve for x
    x = 653,474,771.34/33,155.27
  6. Step 6: Final answer
    x = 19,709.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.